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Finding the Fourth Proportional to 382.66, 574.08 and 200.04

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Solution

The fourth proportional to 382.66, 574.08 and 200.04 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.66 : 574.08 = 200.04 : x
  2. Step 2: Convert to fraction form
    382.66/574.08 = 200.04/x
  3. Step 3: Cross multiply
    382.66x = 574.08 × 200.04
  4. Step 4: Simplify right side
    382.66x = 114,838.96
  5. Step 5: Solve for x
    x = 114,838.96/382.66
  6. Step 6: Final answer
    x = 300.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.